Mathematica > Visualization and Graphics > Computational Geometry > Geometric Transforms > ReflectionMatrix
Mathematica > Visualization and Graphics > Symbolic Graphics Language > Graphics Transformations > Geometric Transforms > ReflectionMatrix
BUILT-IN MATHEMATICA SYMBOL

ReflectionMatrix

ReflectionMatrix[v]
gives the matrix that represents reflection of points in a mirror normal to the vector v.

DetailsDetails

  • The reflection is in a mirror that goes through the origin.
  • ReflectionMatrix works in any number of dimensions. In 2D it reflects in a line; in 3D it reflects in a plane.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Reflect along the axis, or equivalently reflect in the axis:

In[1]:=
Click for copyable input
Out[1]//MatrixForm=
In[2]:=
Click for copyable input
Out[2]=

Reflect along the vector or equivalently in the plane given by :

In[1]:=
Click for copyable input
Out[1]//MatrixForm=

Scope (4)Scope (4)

Applications (1)Applications (1)

Properties & Relations (3)Properties & Relations (3)

Possible Issues (1)Possible Issues (1)

Neat Examples (1)Neat Examples (1)

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